Question: Let u = (uj, u, ) E R' be a unit vector and let f : R R be defined by f(x, y) = if

Let u = (uj, u, ) E R' be a unit vector and let f : R R be defined by f(x, y) = if (x, y) # (0, 0) x2 + y4 0. if ( x, y) = (0, 0) a) [5 marks] Find the directional derivative D- f(a, b) for (a, b) # (0, 0). b) [4 marks] Find D., f(0, 0) [Hint: use the limit definition]. c) [2 marks] Using your solution to (b), find fz (0, 0) and fy (0, 0)

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